Answered: Topic 9 (Week 9) Exercise: The…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The marketing manager of a chain of stores needed information about the
effectiveness of television advertising on weekly sales. The manager collected data from 25 randomly selected stores. For each store, the variables “store sales” and “TV advertising” were recorded per week.
Both variables are recorded in euros (i.e. 1 unit=€1).
You are given the following SPSS output. please see Image attached.

Answer the following questions:
(1) Test if television advertising generally affects the sales of this store. Use a 5% level of significance.
(2) Write down the estimated regression model and interpret the coefficients.

(3) Write down the value of the coefficient of determination and explain it. Is the fitting of
your regression model good?
(4) What is the value of the correlation coefficient between weekly sales and weekly
expenditures on television advertising? Interpret it.
(5) Predict the weekly sales when television advertising is €700.

Topic 9 (Week 9)
Exercise: The marketing manager of a chain of stores needed information about the
effectiveness of television advertising on weekly sales. The manager collected data from 25
randomly selected stores. For each store, the variables "store sales" and "TV advertising"
were recorded per week.
Both variables are recorded in euros (i.e.1 unit-€1).
You are given the following SPSS output.
Model Summary
Std. Error of the
Estimate
2.43078
R Square
Adjusted R Square
222
Model
R.
471
.188
ANOVA
Model
Sum of Squares
df
Mean Square
Sig.
38.764
5.909
38.764
6.560
017
Regression
Residual
135.900
23
Total
174.663
24
Coefficients
Standardized
Coefficients
Unstandardized Coefficients
Std. Error
1.415
Model
Sig.
.000
B.
Beta
(Constant)
16.417
11.600
Television,
3.082
1.203
471
2,561
017
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